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| Complex modal reanalysis of phononic crystals based on two-sided Lanczos algorithm |
| Received:July 15, 2022 Revised:October 02, 2022 |
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| DOI：10.7511/jslx20220715001 |
| KeyWord:two-sided Lanczos algorithm complex modal reanalysis generalized eigenvalue problem photonic crystal |
| Author | Institution |
| 王亚茹 |
河北工业大学 机械工程学院, 天津 ;国家技术创新方法与实施工具工程技术研究中心, 天津 |
| 王刚 |
河北工业大学 机械工程学院, 天津 ;天津市新能源汽车动力传动与安全技术重点实验室, 天津 ;国家技术创新方法与实施工具工程技术研究中心, 天津 |
| 安玉民 |
河北工业大学 机械工程学院, 天津 ;天津市新能源汽车动力传动与安全技术重点实验室, 天津 |
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| Abstract: |
| Aiming at solving the problem of low efficiency in modal analysis when the topology of phononic crystals is modified,a complex modal reanalysis based on two-sided Lanczos algorithm was proposed.Different from the full analysis,the modal analysis results of the original structure of the phononic crystals are used in the presented method.The projection vector matrix is constructed by applying the two-sided Lanczos algorithm.The scale of the vector matrix is compressed by mapping the generalized eigenvalue equation into the subspace.After solving the equation,the final solution is obtained by using the approximate modal relation.Through the analysis of the phononic crystals with their size and shape modified,it is verified that the results obtained by the method are of high accuracy,and the calculation time is reduced by 35% compared with that of full analysis.The method has a great potential in dealing with the modal analysis problems of phononic crystals with large topological modification variation and large calculation scale. |
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